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xxMikexx [17]
3 years ago
15

The pair of points is on the graph of an inverse variation. find the missing value. (5,4) and (x,7)

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
7 0
One form of the relation of inverse variation is y = k/x.

first step:  Find the value of k:    Taking the values x=5 and y = 4, 4=k/5, or k=20.  Then,   y = 20/x.

Next:  Let y = 7 and find the corresp. value of x:  7=20/x, or 7x=20, or

x = 20/7    (answer) 
wel3 years ago
6 0
To the risk of sounding redundant.

\bf \qquad \qquad \textit{inverse proportional variation}
\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad  y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf (5,4)\textit{ we also know that }
\begin{cases}
x=5\\
y=4
\end{cases}\implies 4=\cfrac{k}{5}\implies 20=k
\\\\\\
therefore\qquad \boxed{y=\cfrac{20}{x}}
\\\\\\
(x,7)\textit{ when y = 7, what is \underline{x}?}\qquad 7=\cfrac{20}{x}\implies x=\cfrac{20}{7}\implies x=2\frac{6}{7}
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